12334045680 has 480 divisors, whose sum is σ = 47381967360. Its totient is φ = 2847774720.

The previous prime is 12334045637. The next prime is 12334045769. The reversal of 12334045680 is 8654043321.

12334045680 is a `hidden beast` number, since 123 + 3 + 4 + 0 + 456 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19063117 + ... + 19063763.

It is an arithmetic number, because the mean of its divisors is an integer number (98712432).

Almost surely, 2^12334045680 is an apocalyptic number.

12334045680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12334045680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23690983680).

12334045680 is an abundant number, since it is smaller than the sum of its proper divisors (35047921680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12334045680 is a wasteful number, since it uses less digits than its factorization.

12334045680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 12334045680 in words is "twelve billion, three hundred thirty-four million, forty-five thousand, six hundred eighty".